STANDARD F.BF.B.3
AI

a. Using f(x)+k, kf(x), and f(x+k):
i) identify the effect on the graph when replacing f(x) by f(x)+k, kf(x), and f(x+k) for specific values of k (both positive and negative);
ii) find the value of k given the graphs;
iii) write a new function using the value of k; and
iv) use technology to experiment with cases and explore the effects on the graph.
Tasks are limited to linear, quadratic, square root, and absolute value functions; and exponential functions of the form f(x) = a(b)x where a>0 and b>0 (b≠1).

AII

b. Using f(x)+k, kf(x), f(kx) and f(x+k):
i) identify the effect on the graph when replacing f(x) by f(x)+k, kf(x), f(kx) and f(x+k) for specific values of k (both positive and negative);
ii) find the value of k given the graphs;
iii) write a new function using the value of k; and
iv) use technology to experiment with cases and explore the effects on the graph.
Include recognizing even and odd functions from their graphs.
Tasks may involve polynomial, square root, cube root, exponential, logarithmic, and trigonometric functions.